Question

Show that there is no value of n for which (2^m × 5^n) ends in 5

Answer 1

Answer:

First of all you would have to define the range of n and m. But let's take them as natural numbers. This means that m,n are not equal to 0.

We know that

5^any natural number will be a multiple of 5

therefore

we can write

5^n=5x

where x is a natural number,

similar

2^n=2y

Then

2^m×5^n= 5x×2y

10xy.

Since any number multiplied by 10 will be 0,

therefore there is no value of n where the product will end with 5.

Please mark it as brainliest.